February 19, 2014
Warm up 2/19/14
Solve the systems using substitution
1. y = 5 - 4x and 3x - 2y = 12
2. 4x - 3y = 7 and x = 8 + 2y
Determine whether or not the point is a solution for the system.
3. (3, 6) 5x + 3y = 3 and
y = 2x + 12
Look at this system:
4.
(2, 1)
6x + 4y = 2
and
3x + 2y = 1
4x + 7y = 15 and
y = 6x - 11
2/19/14
-Transform equations
to isolate a variable.
-Solve a system
using substitution
Solve this equation for w:
4w + 8 = 6w - 4
February 19, 2014
Solve this equation for y:
Let's solve this equation for y:
4x + y = 8
-2(y + 6) = y + 3 + 2y
Solve this for y
6x + y = 12
and this one:
4x - 2y = 8
February 19, 2014
One more
So what are the steps for re-writing an
equation into slope intercept form.
6x - 12y = 36
So let's solve this system using what we just learned.
2x - 3y = 4 and
x + 4y = -9
Sam's Silly Sirens rents party favors. She charges a nonrefundable deposit of $15 and then $5 per hour.
Kitty Kat Kates also rents party favors and charges $7.50
per hour.
February 19, 2014
Now solve this system using substitution
in your notebook.
6x + 4y = 2
and
3x + 2y = 1
With a partner solve the following systems:
1. -x + y = 3
2. x + y = -7
3x - y = 1
3. 4 = y - 2x
4x - y = 2
x-y=1
4.
x + 2y = 7
3x - 2y = 5
So we have solved systems of equations in
two different ways now.
One way:
Another way: